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NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
- If f(x)={:{(x sin x", for " 0 lt x le pi/2),(pi/2 sin (pi+x)", for " p...
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- If f(x) is continuous at x=0, where f(x)={((sin x)/(x)+cos x", for " ...
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- If f(x)={:{(x+2", if " x le 4),(x+4", if " x gt 4):}, then
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- If f(x)={:{(2x", if " x lt 2),(2", if " x=2),(x^(2)", if " x gt2):}, t...
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- If f(x)={:{(x-1", for " 1 le x lt 2),(2", for " x=2),(2x-3", for " 2 l...
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- If f(x)={:{(x^(2)", for " x le 1),(x+3", for " x gt 1):}, then at x=1
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- If f(x)=sqrt(x-2), for 2 lt x lt 4, then f(x) is
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- If f(x)={:{(1-x", for " 0 lt x le 1), ( 1/2 ", for " x=0):}, then in [...
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- If f(x)={:{(3x+5", for " 0 le x lt 3),(2x+8", for " 3 le x lt 5),(x+13...
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- If f(x)={:{((sinx)/(x)", for " x lt 0),(x+1", for " x ge 0):}, then
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- If f(x)={((2x+5)/(x+1)", for " 0 le x lt 2),(4x-5", for " 2 le x le 4)...
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- If f(x)={:{((sin2x)/(sqrt(1-cos2x))", for " 0 lt x le pi/2),((cos x)/(...
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- If f(x)={:{(x", for " 0 le x lt 1),(2", for " x=1),(x+1", for " 1 lt x...
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- If f(x)=(x^(3)+3x+5)/(x^(3)-3x+2) in [0, 5], then f is
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- If f(x)=(x+1)/((x-2)(x-5)), then in [4, 6]
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- If f(x)=(x+1)/((x-2)(x-5)), then in [0, 1]
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- If f(x)={:{(x", for " x ge 0),(x^(2)", for " x lt 0):}, then f is
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- If f(x)={:{(x^(2)-4", for " 0 le x le 2),(2x+3", for " 2 lt x le 4),(x...
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- If f(x)={((1)/(x+1)", for " 2 le x le 4),((x+1)/(x-3)", for " 4 lt x l...
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- If f(x)={:{(3", if " 0 le x le 1),(4", if " 1 lt x lt 3),(5", if " 3 l...
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